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Finding the Fourth Proportional to 440,934.16, 608,491.92 and 259,654

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Solution

The fourth proportional to 440,934.16, 608,491.92 and 259,654 is: 358,324.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,934.16 : 608,491.92 = 259,654 : x
  2. Step 2: Convert to fraction form
    440,934.16/608,491.92 = 259,654/x
  3. Step 3: Cross multiply
    440,934.16x = 608,491.92 × 259,654
  4. Step 4: Simplify right side
    440,934.16x = 157,997,360,995.68
  5. Step 5: Solve for x
    x = 157,997,360,995.68/440,934.16
  6. Step 6: Final answer
    x = 358,324.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.